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10374000113088 = 26321944914471459
BaseRepresentation
bin1001011011110110001010…
…0101110111010111000000
31100201202002220102112000200
42112331202211313113000
52324431423012104323
634021425545245200
72120332252013613
oct226754245672700
940652086375020
1010374000113088
11333a652683577
1211b6673793800
135a33580627a1
1427c16622a17a
1512ecb8eab443
hex96f629775c0

10374000113088 has 336 divisors, whose sum is σ = 31413114720000. Its totient is φ = 3264206045184.

The previous prime is 10374000113063. The next prime is 10374000113089. The reversal of 10374000113088 is 88031100047301.

10374000113088 is a `hidden beast` number, since 10 + 37 + 400 + 0 + 1 + 130 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10374000113089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7110348903 + ... + 7110350361.

Almost surely, 210374000113088 is an apocalyptic number.

10374000113088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10374000113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706557360000).

10374000113088 is an abundant number, since it is smaller than the sum of its proper divisors (21039114606912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10374000113088 is a wasteful number, since it uses less digits than its factorization.

10374000113088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10374000113088 in words is "ten trillion, three hundred seventy-four billion, one hundred thirteen thousand, eighty-eight".